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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 6 - Mathematics
Linear Equations - 2

Examples:
  1. 2x + 8 = 14 Then x = ?
    2x + 8 = 14 subtracting 8 from both sides
    2x + 8 - 8 = 14 - 8
    2x = 6 Dividing both sides by 2
    2x/2 = 6/2
    x = 3

  2. 6y - 15 = 2y + 9 Then y = ?
    6y - 15 = 2y + 9 subtracting 2y from both sides
    6y - 15 - 2y = 2y + 9 - 2y
    4y - 15 = 9 Adding 15 both sides
    4y - 15 + 15 = 9 + 15
    4y = 24 dividing both sides by 4
    4y/4 = 24/4
    y = 6

  3. 4(s + 1) = -2(4 - s) distributive property
    Note: Negative number multiplied by a negative number is positive. -2 x -s = 2s
    4s + 4 = -8 + 2s subtracting 2s both sides
    4s + 4 - 2s= -8 + 2s - 2s
    2s + 4 = -8 subtracting 4 both sides
    2s + 4 - 4 = -8 - 4
    2s = - 12 dividing both sides by 2
    2s/2 = - 12/2
    s = -6

  4. 2/x = 3/6
    x/2 = 6/3
    x/2 = 2
    x = 4

  5. t/6 + 2 = t/3
    This equation contains fractions so multiply both sides by the LCD of 6 and 3 that is 6
    6(t/6 + 2) = 6(t/3)
    t + 12 = 2t subtracting t from both sides
    t + 12 - t = 2t - t
    12 = t
    Therefore, t = 12

Directions: Solve for the variables. Also write at least 10 examples of your own.

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